| 波动方程初值问题的解在两类积分中的应用 |
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| 引用本文： | 刘转转,刘茂省.波动方程初值问题的解在两类积分中的应用[J].数学的实践与认识,2012,42(8):250-254. |
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| 作者姓名： | 刘转转 刘茂省 |
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| 作者单位： | 中北大学 理学院数学系,山西太原,030051 |
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| 摘 要： | 利用波动方程初值问题解的特点给出了圆域上一类反常二重积分和球面上第一类曲面积分的微分算子级数公式解和定积分公式解.通过举例说明了该方法相对于常规解法的简便实用性.
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| 关 键 词： | 反常二重积分 第一类曲面积分 微分算子 定积分 |
The Application of Solution to Cauchy Problem of the Wave Equation in Two Kinds of Integrals |
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| LIU Zhuan-zhuan
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LIU Mao-xing.The Application of Solution to Cauchy Problem of the Wave Equation in Two Kinds of Integrals[J].Mathematics in Practice and Theory,2012,42(8):250-254. |
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| Authors: | LIU Zhuan-zhuan LIU Mao-xing |
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| Institution: | (College of Science,North University of China,Taiyuan 030051,China) |
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| Abstract: | Based on the characteristic of the solution to the Cauchy problem of the wave equation,a kind of improper double integral and the first surface integral can be changed into differential operation and definite integral.The two methods are proved to be briefer than usual methods by giving some examples. |
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| Keywords: | double integral surface integral differential operator definite integral |
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